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Finding the Fourth Proportional to 32,384.48, 48,567.92 and 13,912.16

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Solution

The fourth proportional to 32,384.48, 48,567.92 and 13,912.16 is: 20,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.48 : 48,567.92 = 13,912.16 : x
  2. Step 2: Convert to fraction form
    32,384.48/48,567.92 = 13,912.16/x
  3. Step 3: Cross multiply
    32,384.48x = 48,567.92 × 13,912.16
  4. Step 4: Simplify right side
    32,384.48x = 675,684,673.91
  5. Step 5: Solve for x
    x = 675,684,673.91/32,384.48
  6. Step 6: Final answer
    x = 20,864.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.